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Finding the Fourth Proportional to 6,813.08, 10,217.46 and 2,195

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Solution

The fourth proportional to 6,813.08, 10,217.46 and 2,195 is: 3,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.08 : 10,217.46 = 2,195 : x
  2. Step 2: Convert to fraction form
    6,813.08/10,217.46 = 2,195/x
  3. Step 3: Cross multiply
    6,813.08x = 10,217.46 × 2,195
  4. Step 4: Simplify right side
    6,813.08x = 22,427,324.70
  5. Step 5: Solve for x
    x = 22,427,324.70/6,813.08
  6. Step 6: Final answer
    x = 3,291.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.